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Finding the Fourth Proportional to 541.08, 814.50 and 490.80

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Solution

The fourth proportional to 541.08, 814.50 and 490.80 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.08 : 814.50 = 490.80 : x
  2. Step 2: Convert to fraction form
    541.08/814.50 = 490.80/x
  3. Step 3: Cross multiply
    541.08x = 814.50 × 490.80
  4. Step 4: Simplify right side
    541.08x = 399,756.60
  5. Step 5: Solve for x
    x = 399,756.60/541.08
  6. Step 6: Final answer
    x = 738.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.